Hardy space method for exterior Maxwell problems

نویسندگان

  • Lothar Nannen
  • Thorsten Hohage
  • Achim Schädle
  • Joachim Schöberl
چکیده

A relevant difference between (9) and least squares formulations is that the former can be used to prove k-explicit stability bounds on u, while the seconds requires these bounds to be well-posed. We note that, using an appropriate operator T : V → V , any well-posed formulation in the form (2) can be translated in a sign-definite one: aT (u, v) := a(u, T v) = F (Tv) =: FT (v). However, the operator T is often not explicit or its approximation by a Galerkin scheme requires some strict assumptions on the discretisation (see [2]).

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تاریخ انتشار 2013